Statistics

Level 8

S8-1 Carry out investigations of phenomena, using the statistical enquiry cycle:
A conducting experiments using experimental design principles, conducting surveys, and using existing data sets
B finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for time-series data), seeking explanations, and making predictions
C using informed contextual knowledge, exploratory data analysis, and statistical inference
D communicating findings and evaluating all stages of the cycle.
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S8-2 Make inferences from surveys and experiments:
A determining estimates and confidence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem
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B using methods such as resampling or randomisation to assess the strength of evidence.
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S8-3 Evaluate a wide range of statistically based reports, including surveys and polls, experiments, and observational studies:
A critiquing causal-relationship claims
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B interpreting margins of error.
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S8-4 Investigate situations that involve elements of chance:
A calculating probabilities of independent, combined, and conditional events
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B calculating and interpreting expected values and standard deviations of discrete random variables
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C applying distributions such as the Poisson, binomial, and normal.

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